Remarks on stability results for the solutions of certain fourth-order autonomous differential equations

被引:12
|
作者
Wu, X [1 ]
Xiong, K [1 ]
机构
[1] Claremont Grad Sch, Dept Math, Claremont, CA 91711 USA
关键词
D O I
10.1080/002071798222893
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The stability of solutions for certain fourth-order autonomous differential equations is discussed. We give some remarks on the results of Chin (1989) and Ku (1964). Furthermore, some new criteria for local asymptotic stability are presented.
引用
收藏
页码:353 / 360
页数:8
相关论文
共 50 条
  • [31] POSITIVE SOLUTIONS OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS
    马如云
    张凤然
    ActaMathematicaScientia, 1998, (S1) : 124 - 128
  • [32] Remarks on solutions of a fourth-order problem
    Beaulieu, Anne
    Hadiji, Rejeb
    APPLIED MATHEMATICS LETTERS, 2006, 19 (07) : 661 - 666
  • [33] Asymptotic stability of a certain fourth-order delay differential equation
    Yao H.
    Wang J.
    Jiangsu Daxue Xuebao (Ziran Kexue Ban)/Journal of Jiangsu University (Natural Science Edition), 2010, 31 (05): : 616 - 620
  • [34] ON THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS OF A CERTAIN FOURTH-ORDER DIFFERENTIAL EQUATION
    Tunc, Ercan
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2006, 51 (01): : 115 - 132
  • [35] SOLUTIONS OF CERTAIN SELFADJOINT DIFFERENTIAL EQUATIONS OF FOURTH ORDER
    KEENER, MS
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (01): : 161 - &
  • [36] ON THE STABILITY OF THE SOLUTIONS OF CERTAIN FIFTH ORDER NON-AUTONOMOUS DIFFERENTIAL EQUATIONS
    Sadek, A. I.
    ARCHIVUM MATHEMATICUM, 2005, 41 (01): : 93 - 106
  • [37] Fourth-Order Differential Equations: Asymptotic and Oscillatory Behaviors of Solutions
    Almutairi, Alanoud
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
  • [38] Homoclinic solutions for nonlinear general fourth-order differential equations
    Carrasco, Hugo
    Minhos, Feliz
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (16) : 5768 - 5776
  • [39] Existence of solutions to fourth-order differential equations with deviating arguments
    Naceri, Mostepha
    Agarwal, Ravi P.
    Cetin, Erbil
    Amir, El Haffaf
    BOUNDARY VALUE PROBLEMS, 2015,
  • [40] Asymptotic Properties of Solutions of Fourth-Order Delay Differential Equations
    Cesarano, Clemente
    Pinelas, Sandra
    Al-Showaikh, Faisal
    Bazighifan, Omar
    SYMMETRY-BASEL, 2019, 11 (05):